Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
498663 | Computer Methods in Applied Mechanics and Engineering | 2011 | 13 Pages |
Abstract
In this paper, we consider the phase separation on general surfaces by solving the nonlinear Cahn–Hilliard equation using a finite element method. A fully discrete approximation scheme is introduced, and we establish a priori estimates for the discrete solution that does not rely on any knowledge of the exact solution beyond the initial time. This in turn leads to convergence and optimal error estimates of the discretization scheme. Numerical examples are also provided to substantiate the theoretical results.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Qiang Du, Lili Ju, Li Tian,